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In series find the term missing,1,2,2,4,3,8,7,10,__?
(a)9
(b)8
(c)11
(d)13?
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In series find the term missing,1,2,2,4,3,8,7,10,__?(a)9(b)8(c)11(d)13...
Missing Term in Series


  • Given series: 1, 2, 2, 4, 3, 8, 7, 10, __?

  • Observations:


    • The series seems to have alternating patterns of increasing and decreasing numbers.

    • The first set of numbers (1, 2, 2, 4) is increasing.

    • The second set of numbers (3, 8, 7, 10) is decreasing.


  • Approach:


    • Find the pattern for the increasing set of numbers.

    • Find the pattern for the decreasing set of numbers.

    • Use these patterns to find the missing number.


  • Solution:


    • The pattern for the increasing set of numbers is: add 1, then add 2, then add 2, then add 4.

    • The pattern for the decreasing set of numbers is: subtract 1, then multiply by 2, then subtract 1, then add 3.

    • Using these patterns, we can find the missing number in the series.

    • The last number in the series is 10, which belongs to the decreasing set of numbers. So, we need to continue the pattern for the decreasing set to find the missing number.

    • Subtract 1 from 10 to get 9.

    • Multiply 9 by 2 to get 18.

    • Subtract 1 from 18 to get 17.

    • Add 3 to 17 to get 20.

    • Therefore, the missing number in the series is 20.


  • Answer: (c) 11

Community Answer
In series find the term missing,1,2,2,4,3,8,7,10,__?(a)9(b)8(c)11(d)13...
9
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Given sequence: 3, 11, 34, 69, 131, 223To find the pattern in the sequence, let's calculate the differences between consecutive terms:11 - 3 = 834 - 11 = 2369 - 34 = 35131 - 69 = 62223 - 131 = 92The differences between consecutive terms are not following a consistent pattern. Therefore, the given sequence does not have a simple arithmetic or geometric progression.However, if we observe the differences between the differences, we can see a pattern:23 - 8 = 1535 - 23 = 1262 - 35 = 2792 - 62 = 30The differences between the differences are increasing by a constant value. This indicates that the given sequence might have a polynomial pattern.To find the polynomial pattern, we can use the method of finite differences. Let's calculate the second differences:15 - 12 = 312 - 27 = -1527 - 30 = -3The second differences are not constant. Therefore, the given sequence might have a polynomial of degree 2.Let's assume the polynomial is of the form ax^2 + bx + c. Substituting the given terms into the polynomial, we can form the following equations:1. 3a + b + c = 32. 9a + 3b + c = 113. 16a + 4b + c = 34Solving these equations, we get a = 1, b = 2, and c = 0.Therefore, the polynomial pattern for the given sequence is x^2 + 2x.Now, let's find the missing terms in the sequence

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In series find the term missing,1,2,2,4,3,8,7,10,__?(a)9(b)8(c)11(d)13?
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In series find the term missing,1,2,2,4,3,8,7,10,__?(a)9(b)8(c)11(d)13? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In series find the term missing,1,2,2,4,3,8,7,10,__?(a)9(b)8(c)11(d)13? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In series find the term missing,1,2,2,4,3,8,7,10,__?(a)9(b)8(c)11(d)13?.
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